Q.

A thin equiconvex lens of focal length f is cut into two symmetric plano-convex lenses, and the lenses are placed with their curved faces towards each other, with a common optic axis. If the refractive index μ of the material of the lens is 1.45, the focal length of the combination is (assuming no reflection at the boundaries) :

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a

f

b

-f

c

0.9 f

d

+f/0.9

answer is A.

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Detailed Solution

the powers of the lenses add, and the power of each half is one half of that of the entire lens.
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A thin equiconvex lens of focal length f is cut into two symmetric plano-convex lenses, and the lenses are placed with their curved faces towards each other, with a common optic axis. If the refractive index μ of the material of the lens is 1.45, the focal length of the combination is (assuming no reflection at the boundaries) :